Noncooperative solutions for a differential game model of fishery (Q1111456)

A generalization of Gordon-Schaefer's fishery resource model to a duopoly is presented. The resulting noncooperative game is solved analytically as well as numerically by using the equilibrium concepts of Nash and Stackelberg. It turns out that in both cases the player with the smaller unit costs is able to choose a higher catch rate than his opponent. Furthermore it is shown that the game is Stackelberg-dominant. In the Stackelberg case any information disadvantage in the sense of Stackelberg followership can be eliminated by a more efficient technology.